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Finding the Third Proportional to 64,041,716 and 137,809,749

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Solution

The third proportional to 64,041,716 and 137,809,749 is: 296,549,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,041,716 : 137,809,749 = 137,809,749 : x
  2. Step 2: Convert to fraction form
    64,041,716/137,809,749 = 137,809,749/x
  3. Step 3: Cross multiply
    64,041,716x = 137,809,749 × 137,809,749
  4. Step 4: Simplify right side
    64,041,716x = 18,991,526,919,443,000
  5. Step 5: Solve for x
    x = 18,991,526,919,443,000/64,041,716
  6. Step 6: Final answer
    x = 296,549,313.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.